{"as_of":"2026-08-08T17:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c801ede61429d749b4a56bebbe6ba7dea87435b266dc40df90c7286800efe869","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":19,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:49:57.424396Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T03:56:44.657969Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":"2201.06124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-10T03:56:44.657969Z","title":"The prismatization of p-adic formal schemes","venue":"math.AG","work_id":"fbf0559f-e538-4058-8b0f-d8e6b32f7a4b","year":2022},"citing_paper":{"arxiv_id":"2310.12770","last_updated":"2026-05-07T15:37:48Z","snapshot_observed_at":"2026-07-06T16:35:40.224690Z","submitted_at":"2023-10-19T14:17:44Z","title":"Prismatic cohomology relative to $\\delta$-rings","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T06:43:49.255631Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2310.12770"},"observation_digest":"sha256:d4f262fd53a4d4a4f72a7fa5126e07ad3984793ee404f0efc421628d9c2e17da","observation_id":"85139565-d6a5-4231-9062-ef90af8a23b0","resolution":{"observed_at":"2026-05-24T06:44:01.990335Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":"2201.06124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-10T03:56:44.657969Z","title":"The prismatization of p-adic formal schemes","venue":"math.AG","work_id":"fbf0559f-e538-4058-8b0f-d8e6b32f7a4b","year":2022},"citing_paper":{"arxiv_id":"2412.10226","last_updated":"2026-04-20T17:06:35Z","snapshot_observed_at":"2026-08-05T00:03:48.835861Z","submitted_at":"2024-12-13T15:50:33Z","title":"An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-23T07:31:10.441494Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2412.10226"},"observation_digest":"sha256:c50aed9ef36265d4e557d937c6ea17ee39750b20c6d019b4e630861dbdf0c58a","observation_id":"97ec0257-4dbd-477d-b5ba-4442a0da8a08","resolution":{"observed_at":"2026-05-23T07:32:42.915195Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-08-06T15:49:57.424396Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.15175","last_updated":"2025-07-21T01:43:36Z","snapshot_observed_at":"2026-08-07T03:17:01.931011Z","submitted_at":"2025-07-21T01:43:36Z","title":"De Rham-Higgs comparison for mixed Hodge modules in positive characteristic","version":1},"reference_index":2000,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:57.424396Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2507.15175"},"observation_digest":"sha256:03f3914e640a32a76c059e6efd62f77ad4a9e28c467799cc8b18a8deced25e30","observation_id":"28efdfec-93e1-4c64-9cd5-42bd2f4e8dd9","resolution":{"observed_at":"2026-08-06T15:49:57.424396Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-08-06T14:58:10.980738Z","title":"Bhatt and J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.17631","last_updated":"2025-07-23T15:56:39Z","snapshot_observed_at":"2026-08-08T11:27:12.351735Z","submitted_at":"2025-07-23T15:56:39Z","title":"An integral comparison of crystalline and de Rham cohomology","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T14:58:10.980738Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2507.17631"},"observation_digest":"sha256:05e1a6cdd5ff29945be21d4917ad4b20dc4f91794415665be22e1be15c4d6227","observation_id":"1408e059-a093-441f-b665-56e4840e04e6","resolution":{"observed_at":"2026-08-06T14:58:10.980738Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-08-05T12:37:20.415257Z","title":"Theprismatizationof p-adicformalschemes","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.01573","last_updated":"2025-09-01T15:59:37Z","snapshot_observed_at":"2026-08-07T03:16:56.114087Z","submitted_at":"2025-09-01T15:59:37Z","title":"Perfect $F$-gauges and finite flat group schemes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:20.415257Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2509.01573"},"observation_digest":"sha256:42f330cceea491fb5e801ea73e63f6ee3a8e1744352dcfd97f3ea1560b9c9389","observation_id":"6e209288-9ae4-45bc-8edb-7dff8261ab45","resolution":{"observed_at":"2026-08-05T12:37:20.415257Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-08-04T11:30:10.703145Z","title":"Gardner and K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.04958","last_updated":"2026-07-03T14:09:21Z","snapshot_observed_at":"2026-08-07T03:16:59.281683Z","submitted_at":"2025-10-06T15:57:00Z","title":"Ring stacks conjecturally related to the stacks $BT_n^{G,\\mu}$","version":3},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-04T11:30:10.703145Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2510.04958"},"observation_digest":"sha256:ec02d7faf9ab0f4a64e0ff99469f4f96f1365d506f5dcca50a89b60c9079c0c4","observation_id":"e50e44c4-0b0d-4672-9d5b-1843de9c6b34","resolution":{"observed_at":"2026-08-04T11:30:10.703145Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":"2201.06124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-10T03:56:44.657969Z","title":"The prismatization of p-adic formal schemes","venue":"math.AG","work_id":"fbf0559f-e538-4058-8b0f-d8e6b32f7a4b","year":2022},"citing_paper":{"arxiv_id":"2510.16961","last_updated":"2026-05-19T17:58:33Z","snapshot_observed_at":"2026-07-06T22:33:34.164422Z","submitted_at":"2025-10-19T19:03:18Z","title":"Syntomification and crystalline local systems","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-21T19:48:15.738759Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2510.16961"},"observation_digest":"sha256:00b3f724df039abac6486db5a9b850627505d55936ad77997bedff9d02cfbcfb","observation_id":"bafeff45-2cb4-46d7-b920-8953c9aaeb8e","resolution":{"observed_at":"2026-05-21T19:50:33.752957Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-08-04T08:03:18.313799Z","title":"Bhatt, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.23207","last_updated":"2026-05-27T13:23:32Z","snapshot_observed_at":"2026-08-07T03:17:10.071042Z","submitted_at":"2025-10-27T10:53:10Z","title":"The Shimurian BT stack is a gerbe over truncated displays","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-04T08:03:18.313799Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2510.23207"},"observation_digest":"sha256:ba0cba6ca802bcdff9874a745b6fb3b322efc5bebbffd543edca3cd778f659d8","observation_id":"e34ca6fc-7fc3-4c7a-9953-00d01edd30a3","resolution":{"observed_at":"2026-08-04T08:03:18.313799Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":"2201.06124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-10T03:56:44.657969Z","title":"The prismatization of p-adic formal schemes","venue":"math.AG","work_id":"fbf0559f-e538-4058-8b0f-d8e6b32f7a4b","year":2022},"citing_paper":{"arxiv_id":"2604.02682","last_updated":"2026-07-14T08:31:38Z","snapshot_observed_at":"2026-08-03T09:25:21.125461Z","submitted_at":"2026-04-03T03:23:37Z","title":"Algebraization of absolute perfectoidization via section rings","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-13T18:53:58.557424Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2604.02682"},"observation_digest":"sha256:5a529a0f7ab2e5709dabdfdde1fe84f97d65f5979e6593d4576e4051ca591b0c","observation_id":"a71d4c46-4896-4e92-a619-18be760d5427","resolution":{"observed_at":"2026-05-13T18:58:08.937012Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-15T11:41:34.252863Z","title":"Bhatt and J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2604.02682","last_updated":"2026-07-14T08:31:38Z","snapshot_observed_at":"2026-08-03T09:25:21.125461Z","submitted_at":"2026-04-03T03:23:37Z","title":"Algebraization of absolute perfectoidization via section rings","version":3},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-15T11:41:34.252863Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2604.02682"},"observation_digest":"sha256:95dd2dea4011e212af466c1a469621ef3fa3e4c36112f6b0bf8c9eb987f7c340","observation_id":"00a24d9d-fce2-477d-bccf-4e546f6774af","resolution":{"observed_at":"2026-07-15T11:41:34.252863Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":"2201.06124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-10T03:56:44.657969Z","title":"The prismatization of p-adic formal schemes","venue":"math.AG","work_id":"fbf0559f-e538-4058-8b0f-d8e6b32f7a4b","year":2022},"citing_paper":{"arxiv_id":"2604.06442","last_updated":"2026-04-27T18:01:25Z","snapshot_observed_at":"2026-07-06T22:54:57.597183Z","submitted_at":"2026-04-07T20:29:32Z","title":"On canonicity for integral models of Shimura varieties with hyperspecial level","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T18:08:27.893665Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2604.06442"},"observation_digest":"sha256:5333309792e4bcb3f93907d5e944794fbdb73605dcc2f203fc946ff5c6eda278","observation_id":"0b0bc1f8-ac28-4340-9849-2db70a151232","resolution":{"observed_at":"2026-05-11T05:25:59.546649Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":"2201.06124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-10T03:56:44.657969Z","title":"The prismatization of p-adic formal schemes","venue":"math.AG","work_id":"fbf0559f-e538-4058-8b0f-d8e6b32f7a4b","year":2022},"citing_paper":{"arxiv_id":"2604.16066","last_updated":"2026-04-17T13:47:42Z","snapshot_observed_at":"2026-07-06T23:03:30.601598Z","submitted_at":"2026-04-17T13:47:42Z","title":"Height 1 Group Schemes and Prismatic F-Gauges","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T07:38:41.875023Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2604.16066"},"observation_digest":"sha256:92927a31ab351d6aa4a34adb73a83a92195afa9875637d6e9ca986c3b8d42446","observation_id":"230ed551-484d-44fb-899d-6151d80d6cb9","resolution":{"observed_at":"2026-05-10T07:47:12.851906Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":"2201.06124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-10T03:56:44.657969Z","title":"The prismatization of p-adic formal schemes","venue":"math.AG","work_id":"fbf0559f-e538-4058-8b0f-d8e6b32f7a4b","year":2022},"citing_paper":{"arxiv_id":"2605.14803","last_updated":"2026-06-21T15:36:26Z","snapshot_observed_at":"2026-07-06T23:26:13.644646Z","submitted_at":"2026-05-14T13:12:58Z","title":"Frobenius--Witt cotangent complexes","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-05-20T21:02:22.155663Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2605.14803"},"observation_digest":"sha256:6f6c271ae7d66b4eab07b1d2de52385b87bbe27702d419eef2114161ab8b55f8","observation_id":"093c206e-fffa-4295-aa2d-cdb1d3785e66","resolution":{"observed_at":"2026-05-20T21:03:46.471478Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":"2201.06124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-10T03:56:44.657969Z","title":"The prismatization of p-adic formal schemes","venue":"math.AG","work_id":"fbf0559f-e538-4058-8b0f-d8e6b32f7a4b","year":2022},"citing_paper":{"arxiv_id":"2605.14803","last_updated":"2026-06-21T15:36:26Z","snapshot_observed_at":"2026-07-06T23:26:13.644646Z","submitted_at":"2026-05-14T13:12:58Z","title":"Frobenius--Witt cotangent complexes","version":3},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-30T20:20:30.946216Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2605.14803"},"observation_digest":"sha256:fd323b55ca10673d45b8b87806a2dc2031ad43911dcf65a9c9531cbfef13feaa","observation_id":"bdbdddb3-e2c4-4473-8194-73c104b44ff2","resolution":{"observed_at":"2026-07-01T14:35:47.624601Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-11T11:17:55.767983Z","title":"Bhatt, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.04931","last_updated":"2026-07-07T05:12:47Z","snapshot_observed_at":"2026-08-08T16:06:40.418483Z","submitted_at":"2026-07-06T11:02:58Z","title":"A note on prismatic sites for p-quasisyntomic rings","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-11T11:17:55.767983Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2607.04931"},"observation_digest":"sha256:917c60bf53753d60598b4cef795b8ba0e6c891d374cdfafa1eda25e1fa9b9fb7","observation_id":"f6ddf7ce-93d7-4370-80e2-c974aaa111a8","resolution":{"observed_at":"2026-07-11T11:17:55.767983Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":"2201.06124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-10T03:56:44.657969Z","title":"The prismatization of p-adic formal schemes","venue":"math.AG","work_id":"fbf0559f-e538-4058-8b0f-d8e6b32f7a4b","year":2022},"citing_paper":{"arxiv_id":"2607.08660","last_updated":"2026-07-09T16:28:13Z","snapshot_observed_at":"2026-08-07T05:40:11.364970Z","submitted_at":"2026-07-09T16:28:13Z","title":"Reduction modulo p of crystalline Galois representations via {\\mu}_p-equivariance","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-10T03:48:30.525693Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2607.08660"},"observation_digest":"sha256:8759dc87e203edd73b39161e36b4a75f5092f873050975b5e600929be9f7638e","observation_id":"6b907c86-6586-4aaf-8529-64f10c8468ea","resolution":{"observed_at":"2026-07-10T03:56:44.659091Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-07-14T02:40:58.832089Z","title":"Projectivity of the Witt vector affine Grassmannian","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.11853","last_updated":"2026-07-13T17:41:01Z","snapshot_observed_at":"2026-08-08T02:43:17.070000Z","submitted_at":"2026-07-13T17:41:01Z","title":"An obstruction to lifting schemes to spectral schemes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T02:40:58.832089Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2607.11853"},"observation_digest":"sha256:49b282b854570b94ceab9f9c0c1ccda064c329949ece8877ac11fc45cd9f1432","observation_id":"d5c975f6-6cd5-47e2-87bb-a13f2d4f440c","resolution":{"observed_at":"2026-07-14T02:40:58.832089Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-08-01T00:20:29.881477Z","title":"The prismatization of p -adic formal schemes, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26323","last_updated":"2026-07-28T22:43:48Z","snapshot_observed_at":"2026-08-08T05:17:41.251490Z","submitted_at":"2026-07-28T22:43:48Z","title":"Higher dimensional dominoes in de Rham-Witt cohomology","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T00:20:29.881477Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2607.26323"},"observation_digest":"sha256:7f48491a224d34259d72ee877defb4ce6ca962dc8b4990bcd9a95f31efe42b3b","observation_id":"48e91118-903a-4072-9b37-ee6f6afed8ea","resolution":{"observed_at":"2026-08-01T00:20:29.881477Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06124","snapshot_observed_at":"2026-08-06T01:03:32.156853Z","title":"Deformation theory and partition Lie algebras","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.00999","last_updated":"2026-08-02T04:59:20Z","snapshot_observed_at":"2026-08-06T23:25:17.450932Z","submitted_at":"2026-08-02T04:59:20Z","title":"Tannakian reconstruction in derived algebraic geometry","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-06T01:03:32.156853Z"},"links":{"cited_paper":"/paper/2201.06124","citing_paper":"/paper/2608.00999"},"observation_digest":"sha256:a6829822d1f4be1f869ca9e4c1d50bfd5f19e79dcc5153e0d067bf11f1f3652e","observation_id":"07033748-9f9f-40a6-bc54-f3bc8da98e39","resolution":{"observed_at":"2026-08-06T01:03:32.156853Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2201.06124/citation-record","integrity":"/paper/2201.06124/integrity","json":"/paper/2201.06124/citation-record.json","paper":"/paper/2201.06124"},"outbound":[],"paper":{"arxiv_id":"2201.06124","last_updated":"2022-01-16T19:38:19Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-07T03:16:27.614962Z","submitted_at":"2022-01-16T19:38:19Z","title":"The prismatization of $p$-adic formal schemes"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 19 inbound Pith citation observations for arXiv:2201.06124."}